The solder of Figure 9.12 undergoes 10^3 reversals at a strain of 1.3 × 10^-3 . How many more cycles can the solder sustain before it fails at the larger strain of 10^-2 ?

Question

The solder of Figure 9.12 undergoes [latex]10^{3}[/latex] reversals at a strain of [latex]1.3 × 10^{-3}[/latex] . How many more cycles can the solder sustain before it fails at the larger strain of [latex]10^{-2}[/latex] ?

Accepted Answer

Noting that [latex]2N_f[/latex] at these respective strain levels is [latex]\sim 10^4 \ and \ \sim 10^2[/latex] , Eqn (9.27)

[latex]1=\sum{R}=\sum\limits_{i=1}^{n}{\frac{2N_{i}}{2N_{f}}} [/latex]

yields [latex]1=10^3/10^4+2N_i/10^2[/latex]. Solving [latex]2N_{i}=90[/latex] reversals, or 45 cycles.

Question 9.3: The solder of Figure 9.12 undergoes 10^3 reversals at a stra...

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